Yangians and Mickelsson Algebras II
| dc.creator | Khoroshkin, Sergey | |
| dc.creator | Nazarov, Maxim | |
| dc.date | 2006-06-12 | |
| dc.date.accessioned | 2026-07-07T07:47:03Z | |
| dc.date.available | 2026-07-07T07:47:03Z | |
| dc.description | We study a composition of two functors. The first one, from the category of modules over the Lie algebra $\gl_m$ to the category of modules over the degenerate affine Hecke algebra of $GL_N$, was introduced by I. Cherednik. The second functor is a skew version of the functor from the latter category to the category of modules over the Yangian $\Y(\gl_n)$ due to V. Drinfeld. We give a representation theoretic explanation of a link between intertwining operators on tensor products of $\Y(\gl_n)$-modules, and the `extremal cocycle' on the Weyl group of $\gl_m$ introduced by D. Zhelobenko. We establish a connection between the composition of two functors, and the `centralizer construction' of the Yangian $\Y(\gl_n)$ discovered by G. Olshanski. | |
| dc.description | 26 pages | |
| dc.identifier | https://arxiv.org/abs/math/0606272 | |
| dc.identifier | http://arxiv.org/abs/math/0606272 | |
| dc.identifier | Moscow Mathematical Journal 6 (2006) 477-504 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/124033 | |
| dc.subject | Representation Theory | |
| dc.subject | Quantum Algebra | |
| dc.subject | 17B35; 81R50 | |
| dc.title | Yangians and Mickelsson Algebras II | |
| dc.type | text |